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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік за назвою

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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • On a Certain Subalgebra of Uq(sl₂) Related to the Degenerate q-Onsager Algebra 
    Hattai, T.; Ito, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In [Kyushu J. Math. 64 (2010), 81-144], it is discussed that a certain subalgebra of the quantum affine algebra Uq(sl₂) controls the second kind TD-algebra of type I (the degenerate q-Onsager algebra). The subalgebra, which ...
  • On a Quantization of the Classical θ-Functions 
    Brezhnev, Y.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The Jacobi theta-functions admit a definition through the autonomous differential equations (dynamical system); not only through the famous Fourier theta-series. We study this system in the framework of Hamiltonian dynamics ...
  • On Integrable Perturbations of Some Nonholonomic Systems 
    Tsiganov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Integrable perturbations of the nonholonomic Suslov, Veselova, Chaplygin and Heisenberg problems are discussed in the framework of the classical Bertrand-Darboux method. We study the relations between the Bertrand-Darboux ...
  • On the Integrability of Supersymmetric Versions of the Structural Equations for Conformally Parametrized Surfaces 
    Bertrand, S.; Grundland, A.M.; Hariton, A.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper presents the bosonic and fermionic supersymmetric extensions of the structural equations describing conformally parametrized surfaces immersed in a Grasmann superspace, based on the authors' earlier results. A ...
  • On the Killing form of Lie Algebras in Symmetric Ribbon Categories 
    Buchberger, I.; Fuchs, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    As a step towards the structure theory of Lie algebras in symmetric monoidal categories we establish results involving the Killing form. The proper categorical setting for discussing these issues are symmetric ribbon categories.
  • On the q-Charlier Multiple Orthogonal Polynomials 
    Arvesú, J.; Ramírez-Aberasturis, A.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We introduce a new family of special functions, namely q-Charlier multiple orthogonal polynomials. These polynomials are orthogonal with respect to q-analogues of Poisson distributions. We focus our attention on their ...
  • On the Relationship between Two Notions of Compatibility for Bi-Hamiltonian Systems 
    Santoprete, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Bi-Hamiltonian structures are of great importance in the theory of integrable Hamiltonian systems. The notion of compatibility of symplectic structures is a key aspect of bi-Hamiltonian systems. Because of this, a few ...
  • Path Integrals on Euclidean Space Forms 
    Capobianco, G.; Reartes, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In this paper we develop a quantization method for flat compact manifolds based on path integrals. In this method the Hilbert space of holomorphic functions in the complexification of the manifold is used. This space is a ...
  • Populations of Solutions to Cyclotomic Bethe Equations 
    Varchenko, A.; Young, C.A.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study solutions of the Bethe Ansatz equations for the cyclotomic Gaudin model of [Vicedo B., Young C.A.S., arXiv:1409.6937]. We give two interpretations of such solutions: as critical points of a cyclotomic master ...
  • Post-Lie Algebras and Isospectral Flows 
    Ebrahimi-Fard, K.; Lundervold, A.; Mencattini, I.; Munthe-Kaas, H.Z. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution ...
  • Potential and Sobolev Spaces Related to Symmetrized Jacobi Expansions 
    Langowski, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We apply a symmetrization procedure to the setting of Jacobi expansions and study potential spaces in the resulting situation. We prove that the potential spaces of integer orders are isomorphic to suitably defined Sobolev ...
  • Pseudo-Exponential-Type Solutions of Wave Equations Depending on Several Variables 
    Fritzsche, B.; Kirstein, B.; Roitberg, I.Y.; Sakhnovich, A.L. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Using matrix identities, we construct explicit pseudo-exponential-type solutions of linear Dirac, Loewner and Schrödinger equations depending on two variables and of nonlinear wave equations depending on three variables.
  • Quantum Integrals for a Semi-Infinite q-Boson System with Boundary Interactions 
    van Diejen, J.F.; Emsiz, E. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We provide explicit formulas for the quantum integrals of a semi-infinite q-boson system with boundary interactions. These operators and their commutativity are deduced from the Pieri formulas for a q→0 Hall-Littlewood ...
  • Racah Polynomials and Recoupling Schemes of su(1,1) 
    Post, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The connection between the recoupling scheme of four copies of su(1,1), the generic superintegrable system on the 3 sphere, and bivariate Racah polynomials is identified. The Racah polynomials are presented as connection ...
  • Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic 
    Wang, J.; Heckenberger, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    The paper introduces a new method to determine all rank two Nichols algebras of diagonal type over fields of positive characteristic.
  • Rigorous Asymptotics for the Lamé and Mathieu Functions and their Respective Eigenvalues with a Large Parameter 
    Ogilvie, K.; Olde Daalhuis, A.B. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    By application of the theory for second-order linear differential equations with two turning points developed in [Olver F.W.J., Philos. Trans. Roy. Soc. London Ser. A 278 (1975), 137-174], uniform asymptotic approximations ...
  • Schur Superpolynomials: Combinatorial Definition and Pieri Rule 
    Blondeau-Fournier, O.; Mathieu, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Schur superpolynomials have been introduced recently as limiting cases of the Macdonald superpolynomials. It turns out that there are two natural super-extensions of the Schur polynomials: in the limit q=t=0 and q=t→∞, ...
  • Simplex and Polygon Equations 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    It is shown that higher Bruhat orders admit a decomposition into a higher Tamari order, the corresponding dual Tamari order, and a ''mixed order''. We describe simplex equations (including the Yang-Baxter equation) as ...
  • Skein Modules from Skew Howe Duality and Affine Extensions 
    Queffelec, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We show that we can release the rigidity of the skew Howe duality process for sln knot invariants by rescaling the quantum Weyl group action, and recover skein modules for web-tangles. This skew Howe duality phenomenon can ...
  • Slavnov and Gaudin-Korepin Formulas for Models without U(1) Symmetry: the Twisted XXX Chain 
    Belliard, S.; Pimenta, R.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We consider the XXX spin-1/2 Heisenberg chain on the circle with an arbitrary twist. We characterize its spectral problem using the modified algebraic Bethe anstaz and study the scalar product between the Bethe vector and ...

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